Finding the Third Proportional to 2,127.09 and 4,527.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,127.09 : 4,527.56 = 4,527.56 : x
2. Step 2: Convert to fraction form
   2,127.09/4,527.56 = 4,527.56/x
3. Step 3: Cross multiply
   2,127.09x = 4,527.56 × 4,527.56
4. Step 4: Simplify right side
   2,127.09x = 20,498,822.19
5. Step 5: Solve for x
   x = 20,498,822.19/2,127.09
6. Step 6: Final answer
   x = 9,637.01